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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Perimeter and Area - Geometry Study Guide</title>
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</head>
<body>
<header>
<h1>Perimeter and Area</h1>
</header>
<nav>
<a href="geometry.html">Back to Geometry</a>
<a href="index.html">Back to Study Guide</a>
</nav>
<div class="container">
<h2>Understanding Perimeter and Area</h2>
<h3>1. Perimeter of a Rectangle</h3>
<div class="step">
<i class="fas fa-ruler"></i>
<div>
<h4>Perimeter of a Rectangle</h4>
<p>The perimeter of a rectangle is the sum of all its sides. The formula is:</p>
<pre>P = 2 * (Length + Width)</pre>
<p>Example: For a rectangle with a length of 5 units and a width of 3 units:</p>
<pre>P = 2 * (5 + 3) = 2 * 8 = 16 units</pre>
</div>
</div>
<h3>2. Area of a Rectangle</h3>
<div class="step">
<i class="fas fa-ruler-combined"></i>
<div>
<h4>Area of a Rectangle</h4>
<p>The area of a rectangle is calculated by multiplying its length by its width. The formula is:</p>
<pre>A = Length * Width</pre>
<p>Example: For the same rectangle with a length of 5 units and a width of 3 units:</p>
<pre>A = 5 * 3 = 15 square units</pre>
</div>
</div>
<h3>3. Perimeter of a Circle</h3>
<div class="step">
<i class="fas fa-circle"></i>
<div>
<h4>Perimeter (Circumference) of a Circle</h4>
<p>The perimeter (or circumference) of a circle is calculated using the formula:</p>
<pre>C = 2 * π * Radius</pre>
<p>Example: For a circle with a radius of 4 units:</p>
<pre>C = 2 * π * 4 ≈ 25.12 units</pre>
</div>
</div>
<h3>4. Area of a Circle</h3>
<div class="step">
<i class="fas fa-circle-notch"></i>
<div>
<h4>Area of a Circle</h4>
<p>The area of a circle is calculated using the formula:</p>
<pre>A = π * Radius²</pre>
<p>Example: For the same circle with a radius of 4 units:</p>
<pre>A = π * 4² ≈ 50.24 square units</pre>
</div>
</div>
<h3>Example: Perimeter and Area of a Square</h3>
<div class="example-box">
<p><strong>Example: For a square with a side length of 6 units:</strong></p>
<p><strong>Perimeter:</strong></p>
<pre>P = 4 * side = 4 * 6 = 24 units</pre>
<p><strong>Area:</strong></p>
<pre>A = side² = 6² = 36 square units</pre>
</div>
<h3>Try Solving It Yourself:</h3>
<p>Now, try calculating the perimeter and area for the following shapes:</p>
<pre>Rectangle: Length = 8 units, Width = 5 units</pre>
<pre>Circle: Radius = 7 units</pre>
<a href="#" class="button">Click here for the solutions</a>
</div>
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